Properties

Label 342720.it
Number of curves $1$
Conductor $342720$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("it1")
 
E.isogeny_class()
 

Elliptic curves in class 342720.it

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
342720.it1 342720it1 \([0, 0, 0, -1272, -25814]\) \(-4878401536/3346875\) \(-156151800000\) \([]\) \(276480\) \(0.84821\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 342720.it1 has rank \(1\).

Complex multiplication

The elliptic curves in class 342720.it do not have complex multiplication.

Modular form 342720.2.a.it

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 2 q^{11} - 3 q^{13} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display